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- W2338709097 abstract "set A for 5 k ≤ is obtained. The considered task, besides for substantial significance, has applications as well. For example, a network of processors for parallel computation can be regarded as an undirected graph in which the vertices are the processors, and two vertices are joined with the edge if there is a direct connection between the two processors represented. The design of a large network is more feasible if the number of connections is small, but computations become more efficient if the short paths connect any two vertices (that is, the diameter of the graph should be as small as possible). Of course, these two requirements tend to conflict with each other. At the group- theoretic language the diameter of the graph of a computing network is equal to the maximum length of minimal words of the group graph." @default.
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- W2338709097 date "2013-01-01" @default.
- W2338709097 modified "2023-09-27" @default.
- W2338709097 title "Ключевые слова: функция роста, диаметр Кэли. STUDY OF THE GROWTH FUNCTIONS IN TWO-GENERATOR GROUPS OF THE EXPONENT 5" @default.
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